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3 years ago

Someone help me please

Mathematics

2 answers:

pogonyaev3 years ago

8 0

Answer:

10x

Step-by-step explanation:

you substitue f(x) with 5 and g(x) with 2x

then you multiply them both 5*2x

and you get 10x

Nimfa-mama [501]3 years ago

4 0

Would be 10x as they tell you what f(x) is and what g(x) is they then ask you to multiply and as these values are equal to 5 and 2x when multiplying the numbers are collected to 10 and x can’t be simplified further so it would stay as x making the answer 10x

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Hellllpppppp please?????

valentinak56 [21]

Answer:

∠ 1 = 65°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

5x - 10 is an exterior angle of the triangle, then

5x - 10 = 3x + 40 ( subtract 3x from both sides )

2x - 10 = 40 ( add 10 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

The sum of the 3 angles in a triangle = 180° , so

∠ 1 + 40 + 3x = 180°

∠ 1 + 40° + 3(25) = 180°

∠ 1 + 40° + 75° = 180°

∠ 1 + 115° = 180° ( subtract 115° from both sides )

∠ 1 = 65°

7 0

3 years ago

Factorise:

Nata [24]

Answer:

(2x - a - 2)(5x - a + 5)

Step-by-step explanation:

10x² - 7ax + (a + 2) (a - 5) =
10x² - 7ax + a² - 3a - 10

Factorize by finding the roots

Find the discriminant:

D = b² - 4ac
D = (-7a)² - 4*10*(a² - 3a - 10) =
49a² - 40a² + 120a + 400 =
9a² + 120a + 400 =
(3a + 20)²

Find the roots:

x = (- b ± √D)/2a = (7a ± (3a + 20)) / 20

x₁ = (7a + 3a + 20) / 20 = (10a + 20) / 20 = (a + 2) / 2
x₂ = (7a - 3a - 20) / 20 = (4a - 20) / 20 = (a - 5) / 5

Factorize the expression:

10x² - 7ax + a² - 3a - 10 =
10 (x - x₁)(x - x₂) =
10[x - (a + 2)/2][[x - (a - 5)/5] =
(2x - a - 2)(5x - a + 5)

====================================================

You would also try a shorter but more difficult way:

10x² - 7ax + (a + 2) (a - 5) =
2x*5x - 2ax + 10x - 5ax - 10x + (a + 2) (a - 5) =
2x*5x - 2x(a - 5) - 5x(a + 2) + (a + 2) (a - 5) =
2x(5x - (a - 5)) - (a + 2)(5x - (a - 5)) =
(5x - a + 5)(2x - a - 2)

8 0

2 years ago

Read 2 more answers

What are the next three terms in the sequence? -3, 6, 15, 24

baherus [9]

It would be number 4 because 15-6 is 9 so you add 9 to each number so 24+9 is 33 then 42 then 51 and ect.

8 0

3 years ago

Read 2 more answers

Kevin is having a party and he needs to buy the ingredients to make guacamole. At the first supermarket, he bought 6 limes and 2

s2008m [1.1K]

Answer:

Let x represent: the price per lime.

Let y represent: the price per avocado.

System: 6*x + 2*y = $7.50

2*x + y =$3.00

Solution: x = $0.75 y = $1.50

Step-by-step explanation:

Here we have two variables, x and y.

Let's take x = price per lime, and y = price per avocado.

We know that when he bought 6 limes and 2 avocados he paid $7.50, so we can write this as:

6*x + 2*y = $7.50

And we also know that when he bought 2 limes and 1 avocado, he paid $3.00

2*x + 1*y = $3.00

Then we have a system of equations:

6*x + 2*y = $7.50

2*x + y =$3.00

Now we want to solve this system,

The first step is isolating one of the variables in one of the equations, let's isolate y in the second equation:

y = $3.00 - 2*x

Now we can replace this into the other equation:

6*x + 2*($3.00 - 2*x) = $7.50

6*x + $6.00 - 4*x = $7.50

$6.00 + 2*x = $7.50

2*x = $7.50 - $6.00 = $1.50

x = $1.50/2 = $0.75

now we can find the value of y.

y = $3.00 - 2*x = $3.00 - 2*$0.75 = $1.50

7 0

3 years ago

A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed

erma4kov [3.2K]

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

$V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3$

The volume of a cone is given by :

$V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3$

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³

Hence, the required answer is equal to 1055.04 cm³.

3 0

3 years ago